-2x-38=-6(-3-5x)+8

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Solution for -2x-38=-6(-3-5x)+8 equation:


Simplifying
-2x + -38 = -6(-3 + -5x) + 8

Reorder the terms:
-38 + -2x = -6(-3 + -5x) + 8
-38 + -2x = (-3 * -6 + -5x * -6) + 8
-38 + -2x = (18 + 30x) + 8

Reorder the terms:
-38 + -2x = 18 + 8 + 30x

Combine like terms: 18 + 8 = 26
-38 + -2x = 26 + 30x

Solving
-38 + -2x = 26 + 30x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-30x' to each side of the equation.
-38 + -2x + -30x = 26 + 30x + -30x

Combine like terms: -2x + -30x = -32x
-38 + -32x = 26 + 30x + -30x

Combine like terms: 30x + -30x = 0
-38 + -32x = 26 + 0
-38 + -32x = 26

Add '38' to each side of the equation.
-38 + 38 + -32x = 26 + 38

Combine like terms: -38 + 38 = 0
0 + -32x = 26 + 38
-32x = 26 + 38

Combine like terms: 26 + 38 = 64
-32x = 64

Divide each side by '-32'.
x = -2

Simplifying
x = -2

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